This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Extract and organize the data. The ages given in the survey are: 11, 10, 12, 14, 11, 11, 14, 10, 12 12, 11, 11, 11, 10, 14, 11, 10, 11 There are 18 data points in total. Step 2: Create a frequency table with tallies (Part a). We count the occurrences of each age: • Age 10: 4 times • Age 11: 8 times • Age 12: 3 times • Age 14: 3 times The frequency table is: |c|c|c| Age (Years) & Tally & Frequency \\ 10 & |||| & 4 \\ 11 & |||| \ ||| & 8 \\ 12 & ||| & 3 \\ 14 & ||| & 3 \\ Total & & 18 \\ Step 3: Calculate angles for the pie chart (Part b). To draw a pie chart, we calculate the angle for each sector using the formula: Angle = FrequencyTotal Frequency × 360^. • For Age 10: (4)/(18) × 360^ = 80^ • For Age 11: (8)/(18) × 360^ = 160^ • For Age 12: (3)/(18) × 360^ = 60^ • For Age 14: (3)/(18) × 360^ = 60^ The sum of these angles is 80^ + 160^ + 60^ + 60^ = 360^. To draw the pie chart, you would draw a circle, then use a protractor to mark these angles from the center, creating sectors. Each sector should be labeled with its corresponding age. Step 4: Calculate the percentage of those who are more than eleven years old (Part c). "More than eleven years old" includes individuals aged 12 and 14. Number of people aged 12 = 3 Number of people aged 14 = 3 Total number of people more than 11 years old = 3 + 3 = 6. Total number of people surveyed = 18. The percentage is calculated as: Percentage = Number of people > 11 years oldTotal number of people × 100\% Percentage = (6)/(18) × 100\% Percentage = (1)/(3) × 100\% Percentage = 33.33\% Send me the next one 📸